Given f(x) below, find f' (x). f(æ) = / (t° – 11)"dt 4x Provide your answer below: f'(x) = D

Q: Determine whether the following series is convergent or divergente: (- 1)" n = 1 n'+5

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Q: Find f' (x). i f(x) = 3x10 csc-1

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Q: Use an iterated integral to find the area of the region. y = 4 – x2 dy dx = y 5| 3 2 -1 1 3 -1}

A: Given,              y = 4-x²

Q: The domain of y = arcsinx is: -13x<1 all reals O-I to !

A: I am attaching image so that you understand each and every step.

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: Revolution

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

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Q: Find the second derivative of .2 y = Vx² + x-3 O 6/x^2 O 12/x^3 O 6/x O 12/x^5

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Q: graph of the function arccsc( x

A: We can graph the function as below.

Q: Find the limit of the sequence 7 n + 2 lim Show your work. V2n+7

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Q: Evaluate the integrals. Use a capital C for any constant term. 5x + 6) dx = Preview syntax error…

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Q: Consider the curve y = 4x3. The sketch of the portion of this curve between x = – 1 and x = 8 is…

A: Arc length formula:L=∫ab1+dydx2 dxy=4 x23dydx=423 x-13dydx=83 x-13

Q: be Integral Test is applied to the following series? 4 n + 3 n=1 Select one: Integral Test cannot be…

A: Explanation of the answer is as follows

Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

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Q: Find the average value of the function over the given interval. f(x) =13–x² on [-3,3]

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. X + dy

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y…

A: Suppose f is non-negative and continuous on the interval [a,b],then the volume V formed by rotating…

Q: Find the devivatives of the following equation b Y= ln (x,4)-x fori CH/2)

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Q: 立 O EXPONENTIAL AND Table for an exponential function The funcuun g is defined by the following…

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Q: Solve (x2 + 1) + 2xy = dy 2 dx x²+1

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Q: 1. Determine the following using the graph of f provided below. If the value is infinite, specify ∞…

A: Solution: Given graph:

Q: The integral represents the volume of a solid of revolution. 27 x³ dx (a) Identify the plane region…

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Q: Use the integral test to test the series 2 3+5n n =0

A: Series ∑n=0∞ 23+5nWe need to apply integral test.

Q: ANSWER

A: We have to calculate the given indefinite integral according to the given information

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: = [[[In(x² + y² )dxdydz

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Q: Evaluate the iterated integral by converting to polar coordinates. (x² + y?)3/2 dy dx dr de = Jo

A: Follow the procedure given below.

Q: 1150 15" 26" The total length of a windshield wiper arm is 26" The wiper blade itself is 15" The…

A: shaded area = total area - mechanisum area shaded area = θπR2/360 - θπr2/360 where R = 26 r= 15 θ =…

Q: A particle moves vertically (in inches) along the yoxis according to the position equation s(t)=> -…

A: We are given position equation of a particle moving vertically (in inches) along y-axis : s(t) =…

Q: Consider the lines defined by the equations {3 : a – 3 = y – 5 = z – 6 and 4(s) = (-2 – 2s, –2s,6 –…

A: Given lines are: l3: x-3=y-5=z-6 l4→s: -2-2s, -2s, 6-2s   We compare l3: x-3=y-5=z-6 or l3:…

Q: Solve the initial value problem: y" - 12y' + 36y = 0 ; y(0) = 2/3 , y'(0) = 0

A: We want to find solution of the given initial value problem.

Q: Suppose that in a certain country the life expectancy at birth of a female is changing at the rate…

A: We have to find an expression and life expectancy (in years) at birth of a female born in 2000.

Q: 3+5n 1. an n+n

A: the given sequence,an=3+5n2n+n2

Q: Identify the range of arctan(x) so that the relation is a function. ) - TI< y< 7[ 00<y<

A: here range of arctan(x) is -π/2 to π/2 because if we put π/2 it give infinte value  so range…

Q: x2 - c2 x c -3

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Q: Find the area enclosed by the curves f(x)=38−x^2 and g(x)=x^2.

A: Solving

Q: Solve the following differential equations of (у-ху)dx + хdy %3D0

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Q: Solve the initial value problem  y" + 8y' + 25y = 0 ; y(0) = 1, y'(0) = 2

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Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² y2 + x² = 16,…

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Q: Find the solution to   x′=y y′=12x+4y   if x(0)=0 and y(0)=5.

A: we have to solve system of differential equations

Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the…

A: Given: z=0z=x2x=0x=3y=0y=3

Q: The range of the function f(x,y) =16-4x-9y is equal to. [0,1] [0, 16[ This option O This option [0.…

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Q: I need help with all of these problems

A: Given

Q: Find the present and future values of a constant income stream of $4600 per year over a 4 year…

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Q: Question # 10 Calculate The Average Speed Reference Q. 15261 Al and Bob, who live in North…

A: We have to find the average speed.

Q: ,2 Which of the following is true for the series e1/n n=1 Select one: O Converges to 0 O None of the…

A: We need to find the convergence of series  ∑n=1∞ e1n2

Q: Find the volume of the solid generated when the region enclosed by y = Vx, y = 12 – x, and y = 0 is…

A: Follow the procedure given below.

Q: n2+5 n First four terms of the sequence are: 1+9n O None of them 14 3 19 36 19 5 1437 19 36 19 14 37…

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Q: graph of the function "arccot(x)".

A: We have to draw the graph of the function "arccot(x)".

Q: Find the volume of the solid that results when the region enclosed by the curves x = 1 – y² and æ =…

A: Let's find.